# Is this a linear equation #5x+6y=3x-2#?

##### 2 Answers

Yes, it is a linear equation in two variables

#### Explanation:

The generalized linear equation in two variables

The above equation shows a straight line on

The given equation

or

or

The above equation is in form of linear equation:

Please read the explanation.

#### Explanation:

**Linear Equations** are referred to as the **equations of degree one**,

where the **variable's exponent ( or Power) is the value one.**

This is the most common form of a **linear equation**.

It takes the form:

**Slope** or **the Gradient**

**y-intercept**

**General Form**:

IF there are **two variables** in a **linear equation** it takes the form:

To find the **x-intercept**, set

To find the **y-intercept**, set

For both of the above forms, we can construct a **data table** and create a graph.

Now, we will get back to the problem given to us:

This is a **linear equation** with two variables

**We can combine like terms and simplify the equation as
follows:**

Subtract

Hence, we can conclude that the equation

is indeed a **linear equation**.

**y-intercept** can be found by setting

Divide both sides by

Hence we understand that **y-intercept**

To find the **x-intercept**, set

Divide both sides of the equation by

Hence we understand that **x-intercept**

We can verify these results using a graph as given below:

I hope this explanation is helpful.